Search a number
-
+
122221122102210 = 235374713991674587
BaseRepresentation
bin11011110010100011010010…
…100100010010001111000010
3121000202020002010212112111210
4123302203102210102033002
5112004432324224232320
61111535335223550550
734513120225432155
oct3362432244221702
9530666063775453
10122221122102210
1135a4176114620a
121185b3325bb456
13532752cca6a31
142227768d39c9c
15e1e3ba0c30e0
hex6f28d29123c2

122221122102210 has 128 divisors (see below), whose sum is σ = 307888410009600. Its totient is φ = 31014511628544.

The previous prime is 122221122102179. The next prime is 122221122102263. The reversal of 122221122102210 is 12201221122221.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72148537 + ... + 73823123.

It is an arithmetic number, because the mean of its divisors is an integer number (2405378203200).

Almost surely, 2122221122102210 is an apocalyptic number.

122221122102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221122102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153944205004800).

122221122102210 is an abundant number, since it is smaller than the sum of its proper divisors (185667287907390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122221122102210 is a wasteful number, since it uses less digits than its factorization.

122221122102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676080.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122221122102210 its reverse (12201221122221), we get a palindrome (134422343224431).

The spelling of 122221122102210 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 470 555 705 1110 1399 1410 1739 2798 3478 4197 5217 6995 8394 8695 10434 13990 17390 20985 26085 41970 51763 52170 65753 103526 131506 155289 197259 258815 310578 328765 394518 517630 657530 776445 986295 1552890 1674587 1972590 2432861 3349174 4865722 5023761 7298583 8372935 10047522 12164305 14597166 16745870 24328610 25118805 36492915 50237610 61959719 72985830 78705589 123919438 157411178 185879157 236116767 309798595 371758314 393527945 472233534 619597190 787055890 929395785 1180583835 1858791570 2342747213 2361167670 2912106793 4685494426 5824213586 7028241639 8736320379 11713736065 14056483278 14560533965 17472640758 23427472130 29121067930 35141208195 43681601895 70282416390 86681646881 87363203790 110109119011 173363293762 220218238022 260044940643 330327357033 433408234405 520089881286 550545595055 660654714066 866816468810 1101091190110 1300224703215 1651636785165 2600449406430 3303273570330 4074037403407 8148074806814 12222112210221 20370187017035 24444224420442 40740374034070 61110561051105 122221122102210